**OPERATORS ON HILBERT SPACE**

**by**

**John Erdos**

**King's College London**

**Notes on the basic theoretical
development of Hilbert space operators with some exercises.**

**They are designed to be supplement by
examples and applications.**

The notes contain links, but they only work within the current section.

For the benefit of those who want to use the links, the notes in one continuous section can be accessed here.

**1.
Elementary properties of Hilbert space.**

**6.
The spectral analysis of compact opertors.**

**7.
The Sturm-Liouville problem.**

**8.
The spectral analysis of selfadjoint operators.**